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Propagation of two independent sources of uncertainty in the electrocardiography imaging inverse solution

hal.structure.identifierLaboratoire d'Etudes et Recherche en Mathématiques Appliquées [LERMA]
dc.contributor.authorFIKAL, Najib
hal.structure.identifierLaboratoire d'Etudes et Recherche en Mathématiques Appliquées [LERMA]
dc.contributor.authorABOULAICH, Rajae
hal.structure.identifierLaboratoire d'Etudes et Recherche en Mathématiques Appliquées [LERMA]
dc.contributor.authorGUARMAH, Emahdi
hal.structure.identifierModélisation et calculs pour l'électrophysiologie cardiaque [CARMEN]
dc.contributor.authorZEMZEMI, Nejib
dc.date.accessioned2024-04-04T03:04:14Z
dc.date.available2024-04-04T03:04:14Z
dc.date.issued2019-02-15
dc.identifier.issn0973-5348
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/193135
dc.description.abstractEnThis work investigates the effects of the inputs parameters uncertainties (organs conductivities, boundary data) on the electrocardiography (ECG) imaging problem. These inputs are very important for the construction of the torso potential for the forward problem and for the non-invasive electrical potential on the heart surface in the case of the inverse problem. We propose a new stochastic formulation allowing to combine both sources of errors. We formulate the forward and the inverse stochastic problems by considering the inputs parameters as random fields and a sto-chastic optimal control formulation. In order to quantify multiple independent sources of uncertainties on the forward and inverse solutions, we attribute suitable probability density functions for each randomness source, and apply stochastic finite elements based on generalized polynomial chaos method. The efficiency of this approach to solve the forward and inverse ECG problem and the usability to quantify the effect of organs conductivity and epicardial boundary data uncertainties in the torso are demonstrated through a number of numerical simulations on a 2D computational mesh of a realistic torso geometry.
dc.language.isoen
dc.publisherEDP Sciences
dc.subject.enUncertainty quantification
dc.subject.enBoundary value problem
dc.subject.enStochastic finite elements
dc.subject.enElectrocardiography imaging forward and inverse problems
dc.subject.enIll posed problem
dc.title.enPropagation of two independent sources of uncertainty in the electrocardiography imaging inverse solution
dc.typeArticle de revue
dc.identifier.doi10.1051/mmnp/2018065
dc.subject.halInformatique [cs]/Modélisation et simulation
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
dc.subject.halMathématiques [math]/Analyse numérique [math.NA]
dc.subject.halMathématiques [math]/Probabilités [math.PR]
dc.subject.halSciences du Vivant [q-bio]/Ingénierie biomédicale
bordeaux.journalMathematical Modelling of Natural Phenomena
bordeaux.volume14
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue2
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01923847
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01923847v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Mathematical%20Modelling%20of%20Natural%20Phenomena&rft.date=2019-02-15&rft.volume=14&rft.issue=2&rft.eissn=0973-5348&rft.issn=0973-5348&rft.au=FIKAL,%20Najib&ABOULAICH,%20Rajae&GUARMAH,%20Emahdi&ZEMZEMI,%20Nejib&rft.genre=article


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